The first, second one because they synchronization are proved to equally cause them to be similar
Volume of cone = (1/3)pi*r²h
56.52 = (1/3)*3.14*r²*6
56.52/(2*3.14) = r²
9 = r²
r² = 9
r = √9
r = 3
Diameter = 2*r = 2*3 = 6 inches. b.
Answer:
1
Step-by-step explanation:
any number that is raised to the zero power will equal to 1. hope this helps!
So to start you need to add 7 and 4 to get 11
Then you divide 1650mL by 11 which gets you 150mL
You then times that by 7 to get the ratio of blue paint which is 1050mL and times 150mL by 4 to get the ratio of red paint which is 600mL
I think we can use the identity sin x/2 = sqrt [(1 - cos x) /2]
cos x - sqrt3 sqrt ( 1 - cos x) /sqrt2 = 1
cos x - sqrt(3/2) sqrt(1 - cos x) = 1
sqrt(3/2)(sqrt(1 - cos x) = cos x - 1 Squaring both sides:-
1.5 ( 1 - cos x) = cos^2 x - 2 cos x + 1
cos^2 x - 0.5 cos x - 0.5 = 0
cos x = 1 , -0.5
giving x = 0 , 2pi, 2pi/3, 4pi/3 ( for 0 =< x <= 2pi)
because of thw square roots some of these solutions may be extraneous so we should plug these into the original equations to see if they fit.
The last 2 results dont fit so the answer is x = 0 , 2pi Answer
